10 citations · 30 across the 9 of their papers we have counts for
9 papers
A hybrid method for reconstruction of the equation of state of dark energy and its application to Pantheon+SH0ES data
Gawain Simpson, Krzysztof Bolejko, Stephen Walters
Cosmology aims to understand the physical properties of our Universe on its largest scales. One such feature is the expansion of the Universe, which currently seems to be dominated…
Large-Amplitude Elastic Free-Surface Waves: Geometric Nonlinearity and Peakons
Lawrence K. Forbes, Stephen J. Walters, Anya M. Reading
An instantaneous sub-surface disturbance in a two-dimensional elastic half-space is considered. The disturbance propagates through the elastic material until it reaches the free su…
Analytic and numerical solutions to the seismic wave equation in continuous media
S. J. Walters, L. K. Forbes, A. M. Reading
This paper presents two approaches to mathematical modelling of a synthetic seismic pulse, and a comparison between them. First, a new analytical model is developed in two-dimensio…
Fully 3D Rayleigh-Taylor Instability in a Boussinesq Fluid
S. J. Walters, L. K. Forbes
Rayleigh-Taylor instability occurs when a heavier fluid overlies a lighter fluid, and the two seek to exchange positions under the effect of gravity. We present linearized theory f…
A simple exact series representation for relativistic perihelion advance
Stephen J Walters
The small discrepancy between the observed orbit of Mercury and the orbit predicted by Newtonian gravity was a key test of Einstein's theory, and a dramatic verification of the cor…
A Simple and Practical Algorithm for Accurate Gravitational Magnification Maps
S. J. Walters, L. K. Forbes
In this brief communication a new method is outlined for modelling magnification patterns on an observer's plane using a first order approximation to the null geodesic path equatio…
A Note on the Overall Magnification of a Gravitational Point-Source-Point-Lens System
S. J. Walters, L. K. Forbes
The total magnification due to a point lens has been of particular interest as the theorem that gravitational lensing results in light amplification for all observers appears to co…
Rotating gravitational lenses: a kinematic approach
Steve Walters, Larry Forbes
This paper uses the Kerr geodesic equations for massless particles to derive an acceleration vector in both Boyer-Lindquist and Cartesian coordinates. As a special case, the Schwar…
A kinematical approach to gravitational lensing using new formulae for refractive index and acceleration
S. J. Walters, L. K. Forbes, P. D. Jarvis
This paper uses the Schwarzschild metric to derive an effective refractive index and acceleration vector that account for relativistic deflection of light rays, in an otherwise cla…